The Lorentz-Capacity Sub-Programme
Year: 2026
Type: article
Abstract: The Lorentz-capacity sub-programme answers a specific question in the Cosmochrony framework: where does the Lorentz factor $\gamma$ come from, if spacetime geometry is not assumed as fundamental? The answer is that $\gamma$ is not introduced as a kinematic postulate. It is reconstructed from the bounded Born–Infeld capacity budget of admissible projection, then lifted to the observer-transform structure of special relativity through the effective Lorentzian co-metric established in the geometric branch of the programme. The completed chain is align* &BI budget \;\; F^ = 1 \;\; g^ = 2^ \;\; () & \; R(x)^2 = 1-(x) \;\; finite-q domain. align* Six papers constitute the sub-programme. Paper (LorCap) identifies the projective mobility parameter. Paper (TempProj) constructs the temporal residual map $F^\tau_n = \sqrt{1-B_n^2}$. Paper (LCII) extends the construction to the fibrewise non-homogeneous regime. Paper (LC-O1) reconstructs Lorentz transformations and length contraction. Paper (LC-O2-O1) closes the local capacity–metric bridge without importing the Einstein equation. Paper (LC-O3) identifies the exact finite-$q$ domain of validity of the Carnot parabolic identification. The result is not a new dynamical principle. It is a synthesis showing that time dilation, the light cone, Lorentz boosts, length contraction, local gravitational capacity lapse, and finite-$q$ saturation corrections all follow from the same admissibility-capacity structure, once the Q5b–Q11 effective metric closure has been established.
Author: Beau, Jérôme
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162323201
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